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Finding the Fourth Proportional to 2,119.94, 3,177.17 and 949.08

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Solution

The fourth proportional to 2,119.94, 3,177.17 and 949.08 is: 1,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.94 : 3,177.17 = 949.08 : x
  2. Step 2: Convert to fraction form
    2,119.94/3,177.17 = 949.08/x
  3. Step 3: Cross multiply
    2,119.94x = 3,177.17 × 949.08
  4. Step 4: Simplify right side
    2,119.94x = 3,015,383.76
  5. Step 5: Solve for x
    x = 3,015,383.76/2,119.94
  6. Step 6: Final answer
    x = 1,422.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.